My Profile
Active Members
TodayLast 7 Days
more...
Awards & Gifts
Online Exams
Fresher Jobs
Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian
cities including Bangalore, Chennai, Hyderabad, Pune or Kochi
Resources
Find educational articles, blogs, discussion threads and other resources.
Colleges
Find details about any college in India or search for courses.
|
Download Model question papers & previous years question papers
|
Posted By: muthamizhan Member Level: Silver Posted Date: 03 Oct 2008
|
2007 ICSE Mathematics Question paper
|
|
|
Part - A ( Marks : 15 )
Note :
This part contains fifteen questions. Answer all the questions.
Each question carries one mark.
Each question has four alternative choices. Choose the correct or the most appropriate one from among them and write down the alphabet indicating the response. (15 × 1 = 15)
1.
In an A.P, if tn = 7n - 3, then the common difference is
3
4
7
10
2.
If - 33 ( mod 7 ) = x, then the value of x is
2
5
-2
4.
3.
Total surface area of a sphere of radius 1 cm is
4p cm3
4pr2 cm2
4p cm2
3p r2 cm2
4.
A - (B ? C) =
( A - B) ? ( A - C )
( A - B ) n ( A - C)
( A - B ) ? C
( A - B ) n C.
5.
R = {( - 1, 1 ), ( 0, 0 ) , { 2, 4 ) }. The domain of R is
{ -1, 0, 2 }
{1, 0, 4}
{-1, 0, 4}
{1, 0, 2}.
6.
G.C.D. of 3a2 b and 15ab2 is
3ab
15a2 b2
3a2 b2
3ab2.
7.
The term that has to be added to x2 + 16x to make it a perfect square is
16
64
8
36.
8.
A point in 2x + y = 3 is
(2, 2)
(0, 2)
(3, 0)
(0, 4).
9.
Parallelogram inscribed in a circle is a
rectangle
square
trapezium
quadrilateral.
10.
In ? ABC, DE || BC, AD = 3 cm. DB = 5 cm. AE = 6 cm, then EC is
10 cm
8 cm
2cm
3.6 cm.
11.
The midpoint of the line segment joining the points ( 1, - 3 ) and ( - 5, 7 ) is
(-3, -5)
(-2, 2)
(3, 5)
(-1, 1)
12.
Area of a triangle whose vertices are ( 0, 0 ), ( 2, 0 ) and (0, 2 ) is
1 sq. unit
2 sq. units
0 sq. unit.
13.
1 - tan2 45° =
1
0
2.
14.
Standard deviation of the data 5, 10, 15, 20, 25 is If we add 3 to each item, then the new standard deviation is
15.
A die is rolled once. The probability of getting a prime number is
Part - B ( Marks : 20 )
Note :
Answer any ten from the fifteen questions.
Show all the steps.
Each question carries two marks. (10 × 2 = 20)
16.
Find the sum of the first eight terms of the G.P. 2, 4, 8.............
17.
Define Parallelogram:
18.
A cylindrical pillar is 3.5 m in diameter and 20 m high. Find the cost of painting its curved surface at the rate of Rs. 20 per square metre.
19.
If A = { a, b, c, d, e, f, g, h } , B = { a, b, e, f} and C = { a, c, e, g, h } find A - (B ? C).
20.
Given A = { 1, 2, 3, 4, 5 } , B = { 3, 6, 8 }. List the elements for the following relations from A to B
is less than
is greater than.
21.
When x + 2 divides 4x3 + 5x2 + px-2 without remainder. find p.
22.
Determine the nature of the roots of the equation x2-2x+5 = 0.
23.
Define critical path and project duration.
24.
How far is a chord of length 12 cm away from the centre of a circle of radius 10 cm ?
25.
In the figure, AB is the diameter of a circle, ? BAC = 42°. find ? ACD.
26.
Find the point which divides the line segment joining the points (-1,2) and ( 4, - 5 ) internally in the ratio 2 : 3.
27.
If the straight line 7x - 5y = k passes through the point (1,1), what is k ?
28.
Use trigonometric tables, to find the value of sin 60° 42' + cos 42° 20'.
29.
The least score of a cricket player of the school team is 5 runs in a series of ten matches. If his range of scores is 87, find his highest score in the series.
30.
If three coins are tossed, then what is the chance of getting exactly one head ?
Part - C ( Marks : 45 )
Note :
This Part contains ten questions each with two alternatives.
Answer any nine questions.
Choose either of the alternatives in each question.
Steps and diagrams should be shown.
Each question carries five marks. (9 × 5 = 45)
31.
Find the sum of all multiples of 9 between 400 and 600.
Or
A rubber ball dropped from a height of 50 m rebounds at every impact from the floor to a height half of that from which it has fallen. Find the total distance described, by the time it comes to rest.
32.
An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 3 cm, find the volume of the ice-cream in the ice-cream cone,
Or
Three solid spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.
33.
Verify the de Morgan's law A-(B n C ) = ( A - 6 ) ? ( A - C ) using Venn Diagram.
Or
if A = { 1, 2, 3, 4 } and B = { 9, 13, 17, 21 } and if function A ? B is defined by f(x) = 4x + 5, represent f as (i) set of ordered pairs (ii) an arrow diagram (iii) a graph (iv) a table.
34.
In ? ABC, m ? C is 20° greater than m ? A. The sum of m ? A and m ? C is twice m ? B. Find the three angles.
Or
Factorlse : x3 + 13x2 + 32x + 20.
35.
Find the values of a and b if 25x4 - 40x3 - 34x2 + ax + b is a perfect square.
Or
If a and ß are the roots of x2 + 8x - 12 = 0. find
a - ß
a2 + ß2
36.
Maximise :Z = 30x + 20y
subject to :2x + y = 800,
x + 2y = 1000,
x = 0, y = 0.
Or
A small maintenance project consists of the following jobs whose activities and duration are given below :
Activity 1 - 2 1 - 3 2 - 3 2 - 4 3 - 4 3 - 5 4 - 5
Duration in days 20 25 10 12 5 8 10
Draw the network diagram
Find the critical path and project duration.
37.
Prove the converse of, “The perpendicular drawn from the centre of a circle to a chord bisects the chord,”
Or
P and Q are the points on the sides CA and CB respectively of a ? ABC right angled at C. Prove that AQ2 + BP2 = AB2 + PQ2.
38.
Show that ( 9, 0 ), ( 1, 4 ) and ( 11, - 1 ) are collinear.
Or
Find the equation of the perpendicular-bisector of the line Joining the points A( 1, 7) and B (-3, 3).
39.
If sin 6 = cos 9 where 6 is an acute angle, find the value of
OR
The angles of depression of the top and the bottom of a 12 m tall building from the top of a tower are 45° and 60° respectively. Find the height of the tower.
40.
The marks obtained by 10 students in a class test out of 100 marks are 62, 49. 71, 75, 33, 41, 100, 88, 50, 31. Calculate the standard deviation of the marks.
Or
Two dice are rolled once. Find the probability of getting an even number.
Part - D ( Marks : 20 )
Note :
This part contains two questions, each with alternatives.
Answer both the questions choosing cither of the alternatives under each question.
Each question carries ten marks. (2 × 10 = 20)
41.
Construct a triangle ABC such that BC = 7 cm, m ? A = 60° and altitude from A to BC is 4 5 cm.
Or
Take a point P at a distance of 7 cm from the centre of a circle of radius 3 cm and from P draw two tangents PA and PB to the circle. Verify the lengths of the tangents by algebraic calculation.
42.
Draw the graph of y = 2x2 + x - 6 and hence find the roots of 2x2 + x - 10 - 0.
Or
Draw the graph of xy = 12, x, y > 0. Use the graph to find y when x = 5 and x when y = 8.
Return to question paper search
|
|
|
Submit Previous Years University Question Papers and make money from adsense revenue sharing program
Are you preparing for a university examination? Download model question papers
and practise before you write the exam.
|
Watch TV Channels
|